Corpus v3 · Formal theorem
cid005359
FTH0097canonicalv1psh_has_terminal (theorem)
/-- [I.T24] PSh(Cat_τ) is a Grothendieck topos. Standard result: for any small category C, PSh(C) is a Grothendieck topos. Cat_τ is small (countable objects, thin morphisms). We encode this as: PSh(Cat_τ) has a terminal object, products, equalizers, and a subobject classifier. -/
Formalization
lean_axiom_freesorries: 0project axioms: 0
Identifiers
Aliases & legacy IDs
psh_has_terminalpsh-has-terminalTauLib.BookI.Topos.LimitsSites::psh_has_terminalRelease lines
corpus_v2corpus_v3_workingVersion & History
Status disclaimer
A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.